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Finding the Fourth Proportional to 4,242.78, 6,365.00 and 1,281.47

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Solution

The fourth proportional to 4,242.78, 6,365.00 and 1,281.47 is: 1,922.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.78 : 6,365.00 = 1,281.47 : x
  2. Step 2: Convert to fraction form
    4,242.78/6,365.00 = 1,281.47/x
  3. Step 3: Cross multiply
    4,242.78x = 6,365.00 × 1,281.47
  4. Step 4: Simplify right side
    4,242.78x = 8,156,527.93
  5. Step 5: Solve for x
    x = 8,156,527.93/4,242.78
  6. Step 6: Final answer
    x = 1,922.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.